Abstract
In analogy to the f 0(500), which appears as a ππ resonance in chiral unitary theory, and the f 0(980), which appears as a quasibound \(K\bar K\) state, the extension of this approach to the charm sector also predicts a quasibound \(D\bar D\) state with mass around 3720 MeV, named as X(3700), for which some experimental support is seen in the \(e^ + e^ - \to {J \mathord{\left/ {\vphantom {J {\psi D\bar D}}} \right. \kern-\nulldelimiterspace} {\psi D\bar D}}\) reaction close to the \(D\bar D\) threshold. In the present work we propose three different experiments to observe it as a clear peak. The first one is the radiative decay of the ψ(3770), ψ(3770) → γX(3700) → γηη′. The second one proposes the analogous reaction ψ(4040) → γX(3700) → γηη′ and the third reaction is the e + e− → J/ψX(3700) → J/ψηη′. Neat peaks are predicted for all the reactions and the calculated rates are found within measurable range in present facilities.
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Xiao, C.W., Oset, E. Three methods to detect the predicted \(D\bar D\) scalar meson X(3700). Eur. Phys. J. A 49, 52 (2013). https://doi.org/10.1140/epja/i2013-13052-5
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DOI: https://doi.org/10.1140/epja/i2013-13052-5